20.058 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.030 * * * [progress]: [2/2] Setting up program. 0.031 * [progress]: [Phase 2 of 3] Improving. 0.031 * [simplify]: Simplifying: (* (+ x y) (- x y)) 0.032 * [simplify]: Sending expressions to egg_math: (* (+ h1 h0) (- h1 h0)) 0.068 * * [progress]: iteration 1 / 4 0.068 * * * [progress]: picking best candidate 0.069 * * * * [pick]: Picked # 0.069 * * * [progress]: localizing error 0.075 * * * [progress]: generating rewritten candidates 0.075 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.122 * * * [progress]: generating series expansions 0.122 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.122 * [backup-simplify]: Simplify (* (+ x y) (- x y)) into (* (+ x y) (- x y)) 0.122 * [approximate]: Taking taylor expansion of (* (+ x y) (- x y)) in (x y) around 0 0.122 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.122 * [taylor]: Taking taylor expansion of (+ x y) in y 0.122 * [taylor]: Taking taylor expansion of x in y 0.123 * [backup-simplify]: Simplify x into x 0.123 * [taylor]: Taking taylor expansion of y in y 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.123 * [taylor]: Taking taylor expansion of (- x y) in y 0.123 * [taylor]: Taking taylor expansion of x in y 0.123 * [backup-simplify]: Simplify x into x 0.123 * [taylor]: Taking taylor expansion of y in y 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.123 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.123 * [taylor]: Taking taylor expansion of (+ x y) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.123 * [taylor]: Taking taylor expansion of y in x 0.123 * [backup-simplify]: Simplify y into y 0.123 * [taylor]: Taking taylor expansion of (- x y) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.123 * [taylor]: Taking taylor expansion of y in x 0.123 * [backup-simplify]: Simplify y into y 0.123 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.123 * [taylor]: Taking taylor expansion of (+ x y) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.123 * [taylor]: Taking taylor expansion of y in x 0.123 * [backup-simplify]: Simplify y into y 0.123 * [taylor]: Taking taylor expansion of (- x y) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.123 * [taylor]: Taking taylor expansion of y in x 0.123 * [backup-simplify]: Simplify y into y 0.123 * [backup-simplify]: Simplify (+ 0 y) into y 0.123 * [backup-simplify]: Simplify (- y) into (- y) 0.123 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.123 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 0.123 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.123 * [taylor]: Taking taylor expansion of -1 in y 0.123 * [backup-simplify]: Simplify -1 into -1 0.123 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.123 * [taylor]: Taking taylor expansion of y in y 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify (- 0) into 0 0.124 * [backup-simplify]: Simplify (+ 1 0) into 1 0.124 * [backup-simplify]: Simplify (+ 1 0) into 1 0.125 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0 0.125 * [taylor]: Taking taylor expansion of 0 in y 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify (- 0) into 0 0.125 * [backup-simplify]: Simplify (+ 0 0) into 0 0.125 * [backup-simplify]: Simplify (+ 0 0) into 0 0.126 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1 0.126 * [taylor]: Taking taylor expansion of 1 in y 0.126 * [backup-simplify]: Simplify 1 into 1 0.126 * [backup-simplify]: Simplify 1 into 1 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify (* 1 1) into 1 0.126 * [backup-simplify]: Simplify (* -1 1) into -1 0.126 * [backup-simplify]: Simplify -1 into -1 0.127 * [backup-simplify]: Simplify (- 0) into 0 0.127 * [backup-simplify]: Simplify (+ 0 0) into 0 0.127 * [backup-simplify]: Simplify (+ 0 0) into 0 0.128 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 0.128 * [taylor]: Taking taylor expansion of 0 in y 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.129 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify (- 0) into 0 0.129 * [backup-simplify]: Simplify (+ 0 0) into 0 0.130 * [backup-simplify]: Simplify (+ 0 0) into 0 0.130 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (- y)))))) into 0 0.130 * [taylor]: Taking taylor expansion of 0 in y 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify (+ (* -1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (pow y 2)) 0.131 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) into (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) 0.131 * [approximate]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.131 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.131 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.131 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.131 * [taylor]: Taking taylor expansion of x in y 0.131 * [backup-simplify]: Simplify x into x 0.131 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.131 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.131 * [taylor]: Taking taylor expansion of y in y 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 1 into 1 0.131 * [backup-simplify]: Simplify (/ 1 1) into 1 0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.131 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.131 * [taylor]: Taking taylor expansion of y in y 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify (/ 1 1) into 1 0.132 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.132 * [taylor]: Taking taylor expansion of x in y 0.132 * [backup-simplify]: Simplify x into x 0.132 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.132 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.132 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.132 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify (/ 1 1) into 1 0.132 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.132 * [taylor]: Taking taylor expansion of y in x 0.132 * [backup-simplify]: Simplify y into y 0.132 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.132 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.132 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.132 * [taylor]: Taking taylor expansion of y in x 0.132 * [backup-simplify]: Simplify y into y 0.132 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.132 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.133 * [backup-simplify]: Simplify (/ 1 1) into 1 0.133 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.133 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.133 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 1 into 1 0.133 * [backup-simplify]: Simplify (/ 1 1) into 1 0.133 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.133 * [taylor]: Taking taylor expansion of y in x 0.133 * [backup-simplify]: Simplify y into y 0.133 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.133 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.133 * [taylor]: Taking taylor expansion of y in x 0.133 * [backup-simplify]: Simplify y into y 0.133 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.133 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 1 into 1 0.134 * [backup-simplify]: Simplify (/ 1 1) into 1 0.134 * [backup-simplify]: Simplify (+ 1 0) into 1 0.134 * [backup-simplify]: Simplify (+ 0 1) into 1 0.135 * [backup-simplify]: Simplify (* 1 1) into 1 0.135 * [taylor]: Taking taylor expansion of 1 in y 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.135 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.136 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.136 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.136 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0 0.136 * [taylor]: Taking taylor expansion of 0 in y 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.137 * [backup-simplify]: Simplify (+ 0 0) into 0 0.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.138 * [backup-simplify]: Simplify (- 0) into 0 0.138 * [backup-simplify]: Simplify (+ 0 0) into 0 0.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2))) 0.138 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.139 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.139 * [taylor]: Taking taylor expansion of y in y 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (* 1 1) into 1 0.139 * [backup-simplify]: Simplify (/ 1 1) into 1 0.139 * [backup-simplify]: Simplify (- 1) into -1 0.139 * [backup-simplify]: Simplify -1 into -1 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.140 * [backup-simplify]: Simplify (+ 0 0) into 0 0.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.141 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.141 * [backup-simplify]: Simplify (- 0) into 0 0.142 * [backup-simplify]: Simplify (+ 0 0) into 0 0.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.142 * [taylor]: Taking taylor expansion of 0 in y 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.144 * [backup-simplify]: Simplify (- 0) into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.146 * [backup-simplify]: Simplify (+ 0 0) into 0 0.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.147 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.147 * [backup-simplify]: Simplify (- 0) into 0 0.147 * [backup-simplify]: Simplify (+ 0 0) into 0 0.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 0.149 * [taylor]: Taking taylor expansion of 0 in y 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.151 * [backup-simplify]: Simplify (- 0) into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (pow y 2)) 0.151 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (- (/ 1 (- x)) (/ 1 (- y)))) into (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) 0.151 * [approximate]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.151 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 0.152 * [taylor]: Taking taylor expansion of -1 in y 0.152 * [backup-simplify]: Simplify -1 into -1 0.152 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.152 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.152 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.152 * [taylor]: Taking taylor expansion of y in y 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (/ 1 1) into 1 0.152 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.152 * [taylor]: Taking taylor expansion of x in y 0.152 * [backup-simplify]: Simplify x into x 0.152 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.152 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.152 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.152 * [taylor]: Taking taylor expansion of y in y 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (/ 1 1) into 1 0.153 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.153 * [taylor]: Taking taylor expansion of x in y 0.153 * [backup-simplify]: Simplify x into x 0.153 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.153 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.153 * [taylor]: Taking taylor expansion of -1 in x 0.153 * [backup-simplify]: Simplify -1 into -1 0.153 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.153 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.153 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.153 * [taylor]: Taking taylor expansion of y in x 0.153 * [backup-simplify]: Simplify y into y 0.153 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.153 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (/ 1 1) into 1 0.153 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.154 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.154 * [taylor]: Taking taylor expansion of y in x 0.154 * [backup-simplify]: Simplify y into y 0.154 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.154 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.154 * [taylor]: Taking taylor expansion of x in x 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 1 into 1 0.154 * [backup-simplify]: Simplify (/ 1 1) into 1 0.154 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.154 * [taylor]: Taking taylor expansion of -1 in x 0.154 * [backup-simplify]: Simplify -1 into -1 0.154 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.154 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.154 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.154 * [taylor]: Taking taylor expansion of y in x 0.154 * [backup-simplify]: Simplify y into y 0.154 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.154 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.154 * [taylor]: Taking taylor expansion of x in x 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify (/ 1 1) into 1 0.155 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.155 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.155 * [taylor]: Taking taylor expansion of y in x 0.155 * [backup-simplify]: Simplify y into y 0.155 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.155 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.155 * [taylor]: Taking taylor expansion of x in x 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify (/ 1 1) into 1 0.156 * [backup-simplify]: Simplify (+ 0 1) into 1 0.156 * [backup-simplify]: Simplify (- 1) into -1 0.156 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.157 * [backup-simplify]: Simplify (* 1 -1) into -1 0.157 * [backup-simplify]: Simplify (* -1 -1) into 1 0.157 * [taylor]: Taking taylor expansion of 1 in y 0.157 * [backup-simplify]: Simplify 1 into 1 0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.158 * [backup-simplify]: Simplify (- 0) into 0 0.158 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.159 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.159 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) -1)) into 0 0.159 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.159 * [taylor]: Taking taylor expansion of 0 in y 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.161 * [backup-simplify]: Simplify (- 0) into 0 0.161 * [backup-simplify]: Simplify (+ 0 0) into 0 0.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.162 * [backup-simplify]: Simplify (+ 0 0) into 0 0.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2)) 0.164 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 -1))) into (- (/ 1 (pow y 2))) 0.164 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.164 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.164 * [taylor]: Taking taylor expansion of y in y 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (* 1 1) into 1 0.164 * [backup-simplify]: Simplify (/ 1 1) into 1 0.165 * [backup-simplify]: Simplify (- 1) into -1 0.165 * [backup-simplify]: Simplify -1 into -1 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.166 * [backup-simplify]: Simplify (- 0) into 0 0.166 * [backup-simplify]: Simplify (+ 0 0) into 0 0.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.168 * [backup-simplify]: Simplify (+ 0 0) into 0 0.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0 0.169 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 -1)))) into 0 0.169 * [taylor]: Taking taylor expansion of 0 in y 0.169 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.171 * [backup-simplify]: Simplify (- 0) into 0 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.172 * [backup-simplify]: Simplify (- 0) into 0 0.173 * [backup-simplify]: Simplify (+ 0 0) into 0 0.173 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.174 * [backup-simplify]: Simplify (+ 0 0) into 0 0.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 -1))))) into 0 0.176 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 -1))))) into 0 0.176 * [taylor]: Taking taylor expansion of 0 in y 0.176 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.178 * [backup-simplify]: Simplify (- 0) into 0 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (pow y 2)) 0.179 * * * [progress]: simplifying candidates 0.180 * [simplify]: Simplifying: (* (+ x y) (- x y)) (+ (log (+ x y)) (log (- x y))) (log (* (+ x y) (- x y))) (exp (* (+ x y) (- x y))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (- x y) (- x y)) (- x y))) (* (cbrt (* (+ x y) (- x y))) (cbrt (* (+ x y) (- x y)))) (cbrt (* (+ x y) (- x y))) (* (* (* (+ x y) (- x y)) (* (+ x y) (- x y))) (* (+ x y) (- x y))) (sqrt (* (+ x y) (- x y))) (sqrt (* (+ x y) (- x y))) (* (+ (pow x 3) (pow y 3)) (- (pow x 3) (pow y 3))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (+ (* y y) (* x y)))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ (* x x) (- (* y y) (* x y))) (+ x y)) (* (- (* x x) (* y y)) (- (pow x 3) (pow y 3))) (* (- x y) (+ (* x x) (+ (* y y) (* x y)))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (+ x y)) (* (sqrt (+ x y)) (sqrt (- x y))) (* (sqrt (+ x y)) (sqrt (- x y))) (* (+ x y) x) (* (+ x y) (- y)) (* (+ x y) x) (* (+ x y) (- y)) (* x (+ x y)) (* (- y) (+ x y)) (* x (+ x y)) (* (- y) (+ x y)) (* (+ x y) (* (cbrt (- x y)) (cbrt (- x y)))) (* (+ x y) (sqrt (- x y))) (* (+ x y) 1) (* (+ x y) (+ (sqrt x) (sqrt y))) (* (+ x y) 1) (* (cbrt (+ x y)) (- x y)) (* (sqrt (+ x y)) (- x y)) (* (+ x y) (- x y)) (* (+ x y) (- x y)) (* (+ x y) (- (pow x 3) (pow y 3))) (* (+ x y) (- (* x x) (* y y))) (* (+ (pow x 3) (pow y 3)) (- x y)) (* (- (* x x) (* y y)) (- x y)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) 0.180 * [simplify]: Sending expressions to egg_math: (* (+ h1 h0) (- h1 h0)) (+ (log (+ h1 h0)) (log (- h1 h0))) (log (* (+ h1 h0) (- h1 h0))) (exp (* (+ h1 h0) (- h1 h0))) (* (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0)) (* (* (- h1 h0) (- h1 h0)) (- h1 h0))) (* (cbrt (* (+ h1 h0) (- h1 h0))) (cbrt (* (+ h1 h0) (- h1 h0)))) (cbrt (* (+ h1 h0) (- h1 h0))) (* (* (* (+ h1 h0) (- h1 h0)) (* (+ h1 h0) (- h1 h0))) (* (+ h1 h0) (- h1 h0))) (sqrt (* (+ h1 h0) (- h1 h0))) (sqrt (* (+ h1 h0) (- h1 h0))) (* (+ (pow h1 3) (pow h0 3)) (- (pow h1 3) (pow h0 3))) (* (+ (* h1 h1) (- (* h0 h0) (* h1 h0))) (+ (* h1 h1) (+ (* h0 h0) (* h1 h0)))) (* (+ (pow h1 3) (pow h0 3)) (- (* h1 h1) (* h0 h0))) (* (+ (* h1 h1) (- (* h0 h0) (* h1 h0))) (+ h1 h0)) (* (- (* h1 h1) (* h0 h0)) (- (pow h1 3) (pow h0 3))) (* (- h1 h0) (+ (* h1 h1) (+ (* h0 h0) (* h1 h0)))) (* (- (* h1 h1) (* h0 h0)) (- (* h1 h1) (* h0 h0))) (* (- h1 h0) (+ h1 h0)) (* (sqrt (+ h1 h0)) (sqrt (- h1 h0))) (* (sqrt (+ h1 h0)) (sqrt (- h1 h0))) (* (+ h1 h0) h1) (* (+ h1 h0) (- h0)) (* (+ h1 h0) h1) (* (+ h1 h0) (- h0)) (* h1 (+ h1 h0)) (* (- h0) (+ h1 h0)) (* h1 (+ h1 h0)) (* (- h0) (+ h1 h0)) (* (+ h1 h0) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (* (+ h1 h0) (sqrt (- h1 h0))) (* (+ h1 h0) 1) (* (+ h1 h0) (+ (sqrt h1) (sqrt h0))) (* (+ h1 h0) 1) (* (cbrt (+ h1 h0)) (- h1 h0)) (* (sqrt (+ h1 h0)) (- h1 h0)) (* (+ h1 h0) (- h1 h0)) (* (+ h1 h0) (- h1 h0)) (* (+ h1 h0) (- (pow h1 3) (pow h0 3))) (* (+ h1 h0) (- (* h1 h1) (* h0 h0))) (* (+ (pow h1 3) (pow h0 3)) (- h1 h0)) (* (- (* h1 h1) (* h0 h0)) (- h1 h0)) (- (pow h1 2) (pow h0 2)) (- (pow h1 2) (pow h0 2)) (- (pow h1 2) (pow h0 2)) 0.212 * * * [progress]: adding candidates to table 0.303 * * [progress]: iteration 2 / 4 0.303 * * * [progress]: picking best candidate 0.305 * * * * [pick]: Picked # 0.305 * * * [progress]: localizing error 0.317 * * * [progress]: generating rewritten candidates 0.317 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.361 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.384 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.417 * * * [progress]: generating series expansions 0.417 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.417 * [backup-simplify]: Simplify (* (- y) (+ x y)) into (* -1 (* y (+ x y))) 0.417 * [approximate]: Taking taylor expansion of (* -1 (* y (+ x y))) in (y x) around 0 0.417 * [taylor]: Taking taylor expansion of (* -1 (* y (+ x y))) in x 0.417 * [taylor]: Taking taylor expansion of -1 in x 0.417 * [backup-simplify]: Simplify -1 into -1 0.417 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 0.417 * [taylor]: Taking taylor expansion of y in x 0.417 * [backup-simplify]: Simplify y into y 0.417 * [taylor]: Taking taylor expansion of (+ x y) in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify 1 into 1 0.417 * [taylor]: Taking taylor expansion of y in x 0.417 * [backup-simplify]: Simplify y into y 0.417 * [taylor]: Taking taylor expansion of (* -1 (* y (+ x y))) in y 0.417 * [taylor]: Taking taylor expansion of -1 in y 0.417 * [backup-simplify]: Simplify -1 into -1 0.417 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.417 * [taylor]: Taking taylor expansion of y in y 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify 1 into 1 0.417 * [taylor]: Taking taylor expansion of (+ x y) in y 0.417 * [taylor]: Taking taylor expansion of x in y 0.417 * [backup-simplify]: Simplify x into x 0.417 * [taylor]: Taking taylor expansion of y in y 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify 1 into 1 0.417 * [taylor]: Taking taylor expansion of (* -1 (* y (+ x y))) in y 0.417 * [taylor]: Taking taylor expansion of -1 in y 0.417 * [backup-simplify]: Simplify -1 into -1 0.417 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.417 * [taylor]: Taking taylor expansion of y in y 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify 1 into 1 0.418 * [taylor]: Taking taylor expansion of (+ x y) in y 0.418 * [taylor]: Taking taylor expansion of x in y 0.418 * [backup-simplify]: Simplify x into x 0.418 * [taylor]: Taking taylor expansion of y in y 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 1 into 1 0.418 * [backup-simplify]: Simplify (+ x 0) into x 0.418 * [backup-simplify]: Simplify (* 0 x) into 0 0.418 * [backup-simplify]: Simplify (* -1 0) into 0 0.418 * [taylor]: Taking taylor expansion of 0 in x 0.418 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify (+ 0 1) into 1 0.419 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 x)) into x 0.420 * [backup-simplify]: Simplify (+ (* -1 x) (* 0 0)) into (- x) 0.420 * [taylor]: Taking taylor expansion of (- x) in x 0.420 * [taylor]: Taking taylor expansion of x in x 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify 1 into 1 0.420 * [backup-simplify]: Simplify (- 0) into 0 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify (+ 0 0) into 0 0.421 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 x))) into 1 0.422 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 x) (* 0 0))) into (- 1) 0.422 * [taylor]: Taking taylor expansion of (- 1) in x 0.422 * [taylor]: Taking taylor expansion of 1 in x 0.422 * [backup-simplify]: Simplify 1 into 1 0.422 * [backup-simplify]: Simplify (- 1) into -1 0.422 * [backup-simplify]: Simplify -1 into -1 0.422 * [backup-simplify]: Simplify (- 1) into -1 0.422 * [backup-simplify]: Simplify -1 into -1 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify (+ 0 0) into 0 0.424 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 x)))) into 0 0.425 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 x) (* 0 0)))) into 0 0.425 * [taylor]: Taking taylor expansion of 0 in x 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify (- 0) into 0 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify (- 0) into 0 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify (+ 0 0) into 0 0.427 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 x))))) into 0 0.428 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 x) (* 0 0))))) into 0 0.428 * [taylor]: Taking taylor expansion of 0 in x 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify (+ (* -1 (* x y)) (* -1 (pow (* 1 y) 2))) into (- (+ (pow y 2) (* x y))) 0.428 * [backup-simplify]: Simplify (* (- (/ 1 y)) (+ (/ 1 x) (/ 1 y))) into (* -1 (/ (+ (/ 1 y) (/ 1 x)) y)) 0.428 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) y)) in (y x) around 0 0.428 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) y)) in x 0.428 * [taylor]: Taking taylor expansion of -1 in x 0.428 * [backup-simplify]: Simplify -1 into -1 0.428 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.428 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.428 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.428 * [taylor]: Taking taylor expansion of y in x 0.428 * [backup-simplify]: Simplify y into y 0.428 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.428 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.428 * [taylor]: Taking taylor expansion of x in x 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 1 into 1 0.428 * [backup-simplify]: Simplify (/ 1 1) into 1 0.428 * [taylor]: Taking taylor expansion of y in x 0.428 * [backup-simplify]: Simplify y into y 0.429 * [backup-simplify]: Simplify (+ 0 1) into 1 0.429 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.429 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) y)) in y 0.429 * [taylor]: Taking taylor expansion of -1 in y 0.429 * [backup-simplify]: Simplify -1 into -1 0.429 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.429 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.429 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.429 * [taylor]: Taking taylor expansion of y in y 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify 1 into 1 0.429 * [backup-simplify]: Simplify (/ 1 1) into 1 0.429 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.429 * [taylor]: Taking taylor expansion of x in y 0.429 * [backup-simplify]: Simplify x into x 0.429 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.429 * [taylor]: Taking taylor expansion of y in y 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify 1 into 1 0.430 * [backup-simplify]: Simplify (+ 1 0) into 1 0.432 * [backup-simplify]: Simplify (/ 1 1) into 1 0.433 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) y)) in y 0.433 * [taylor]: Taking taylor expansion of -1 in y 0.433 * [backup-simplify]: Simplify -1 into -1 0.433 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.433 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.433 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.433 * [taylor]: Taking taylor expansion of y in y 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 1 into 1 0.433 * [backup-simplify]: Simplify (/ 1 1) into 1 0.433 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.433 * [taylor]: Taking taylor expansion of x in y 0.433 * [backup-simplify]: Simplify x into x 0.433 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.433 * [taylor]: Taking taylor expansion of y in y 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 1 into 1 0.433 * [backup-simplify]: Simplify (+ 1 0) into 1 0.434 * [backup-simplify]: Simplify (/ 1 1) into 1 0.434 * [backup-simplify]: Simplify (* -1 1) into -1 0.434 * [taylor]: Taking taylor expansion of -1 in x 0.434 * [backup-simplify]: Simplify -1 into -1 0.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.434 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 0.435 * [backup-simplify]: Simplify (- (/ (/ 1 x) 1) (+ (* 1 (/ 0 1)))) into (/ 1 x) 0.435 * [backup-simplify]: Simplify (+ (* -1 (/ 1 x)) (* 0 1)) into (- (/ 1 x)) 0.435 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify 1 into 1 0.436 * [backup-simplify]: Simplify (/ 1 1) into 1 0.436 * [backup-simplify]: Simplify (- 1) into -1 0.436 * [backup-simplify]: Simplify -1 into -1 0.436 * [backup-simplify]: Simplify -1 into -1 0.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.436 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.437 * [backup-simplify]: Simplify (+ 0 0) into 0 0.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)))) into 0 0.438 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ 1 x)) (* 0 1))) into 0 0.438 * [taylor]: Taking taylor expansion of 0 in x 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.439 * [backup-simplify]: Simplify (- 0) into 0 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.439 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.440 * [backup-simplify]: Simplify (+ 0 0) into 0 0.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.441 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ 1 x)) (* 0 1)))) into 0 0.441 * [taylor]: Taking taylor expansion of 0 in x 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.442 * [backup-simplify]: Simplify (- 0) into 0 0.442 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.443 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.443 * [backup-simplify]: Simplify (+ 0 0) into 0 0.445 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.446 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 x)) (* 0 1))))) into 0 0.446 * [taylor]: Taking taylor expansion of 0 in x 0.446 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify (+ (* -1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* -1 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y))))) into (- (+ (pow y 2) (* x y))) 0.446 * [backup-simplify]: Simplify (* (- (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) into (* -1 (/ (+ (/ 1 y) (/ 1 x)) y)) 0.446 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) y)) in (y x) around 0 0.446 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) y)) in x 0.446 * [taylor]: Taking taylor expansion of -1 in x 0.446 * [backup-simplify]: Simplify -1 into -1 0.446 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.446 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.446 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.446 * [taylor]: Taking taylor expansion of y in x 0.446 * [backup-simplify]: Simplify y into y 0.446 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.446 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.446 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 1 into 1 0.447 * [backup-simplify]: Simplify (/ 1 1) into 1 0.447 * [taylor]: Taking taylor expansion of y in x 0.447 * [backup-simplify]: Simplify y into y 0.447 * [backup-simplify]: Simplify (+ 0 1) into 1 0.447 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.447 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) y)) in y 0.447 * [taylor]: Taking taylor expansion of -1 in y 0.447 * [backup-simplify]: Simplify -1 into -1 0.447 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.447 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.447 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.447 * [taylor]: Taking taylor expansion of y in y 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 1 into 1 0.447 * [backup-simplify]: Simplify (/ 1 1) into 1 0.447 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.447 * [taylor]: Taking taylor expansion of x in y 0.448 * [backup-simplify]: Simplify x into x 0.448 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.448 * [taylor]: Taking taylor expansion of y in y 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify 1 into 1 0.448 * [backup-simplify]: Simplify (+ 1 0) into 1 0.448 * [backup-simplify]: Simplify (/ 1 1) into 1 0.448 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) y)) in y 0.448 * [taylor]: Taking taylor expansion of -1 in y 0.448 * [backup-simplify]: Simplify -1 into -1 0.448 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.448 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.448 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.448 * [taylor]: Taking taylor expansion of y in y 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify 1 into 1 0.448 * [backup-simplify]: Simplify (/ 1 1) into 1 0.448 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.449 * [taylor]: Taking taylor expansion of x in y 0.449 * [backup-simplify]: Simplify x into x 0.449 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.449 * [taylor]: Taking taylor expansion of y in y 0.449 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify 1 into 1 0.449 * [backup-simplify]: Simplify (+ 1 0) into 1 0.449 * [backup-simplify]: Simplify (/ 1 1) into 1 0.449 * [backup-simplify]: Simplify (* -1 1) into -1 0.449 * [taylor]: Taking taylor expansion of -1 in x 0.449 * [backup-simplify]: Simplify -1 into -1 0.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.450 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 0.450 * [backup-simplify]: Simplify (- (/ (/ 1 x) 1) (+ (* 1 (/ 0 1)))) into (/ 1 x) 0.451 * [backup-simplify]: Simplify (+ (* -1 (/ 1 x)) (* 0 1)) into (- (/ 1 x)) 0.451 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.451 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 1 into 1 0.451 * [backup-simplify]: Simplify (/ 1 1) into 1 0.451 * [backup-simplify]: Simplify (- 1) into -1 0.451 * [backup-simplify]: Simplify -1 into -1 0.451 * [backup-simplify]: Simplify -1 into -1 0.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.452 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.452 * [backup-simplify]: Simplify (+ 0 0) into 0 0.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)))) into 0 0.453 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ 1 x)) (* 0 1))) into 0 0.453 * [taylor]: Taking taylor expansion of 0 in x 0.454 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.454 * [backup-simplify]: Simplify (- 0) into 0 0.454 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.455 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.455 * [backup-simplify]: Simplify (+ 0 0) into 0 0.456 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.457 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ 1 x)) (* 0 1)))) into 0 0.457 * [taylor]: Taking taylor expansion of 0 in x 0.457 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.458 * [backup-simplify]: Simplify (- 0) into 0 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.458 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.459 * [backup-simplify]: Simplify (+ 0 0) into 0 0.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.461 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 x)) (* 0 1))))) into 0 0.461 * [taylor]: Taking taylor expansion of 0 in x 0.461 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify (+ (* -1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* -1 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y)))))) into (- (+ (pow y 2) (* x y))) 0.462 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.462 * [backup-simplify]: Simplify (+ (* x (+ x y)) (* (- y) (+ x y))) into (- (pow x 2) (pow y 2)) 0.462 * [approximate]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in (x y) around 0 0.462 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.462 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.462 * [taylor]: Taking taylor expansion of x in y 0.462 * [backup-simplify]: Simplify x into x 0.462 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.462 * [taylor]: Taking taylor expansion of y in y 0.462 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify 1 into 1 0.462 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.462 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify 1 into 1 0.463 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.463 * [taylor]: Taking taylor expansion of y in x 0.463 * [backup-simplify]: Simplify y into y 0.463 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.463 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify 1 into 1 0.463 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.463 * [taylor]: Taking taylor expansion of y in x 0.463 * [backup-simplify]: Simplify y into y 0.463 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.463 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 0.463 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 0.463 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 0.463 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.463 * [taylor]: Taking taylor expansion of y in y 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify 1 into 1 0.463 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.464 * [backup-simplify]: Simplify (- 0) into 0 0.464 * [backup-simplify]: Simplify (+ 0 0) into 0 0.464 * [taylor]: Taking taylor expansion of 0 in y 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify (* 1 1) into 1 0.465 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.465 * [backup-simplify]: Simplify (- 0) into 0 0.465 * [backup-simplify]: Simplify (+ 1 0) into 1 0.465 * [taylor]: Taking taylor expansion of 1 in y 0.465 * [backup-simplify]: Simplify 1 into 1 0.465 * [backup-simplify]: Simplify 1 into 1 0.465 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify (* 1 1) into 1 0.466 * [backup-simplify]: Simplify (- 1) into -1 0.466 * [backup-simplify]: Simplify -1 into -1 0.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.467 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.468 * [backup-simplify]: Simplify (- 0) into 0 0.468 * [backup-simplify]: Simplify (+ 0 0) into 0 0.468 * [taylor]: Taking taylor expansion of 0 in y 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.469 * [backup-simplify]: Simplify (- 0) into 0 0.469 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.470 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.471 * [backup-simplify]: Simplify (- 0) into 0 0.471 * [backup-simplify]: Simplify (+ 0 0) into 0 0.471 * [taylor]: Taking taylor expansion of 0 in y 0.471 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify (+ (* -1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (pow y 2)) 0.472 * [backup-simplify]: Simplify (+ (* (/ 1 x) (+ (/ 1 x) (/ 1 y))) (* (- (/ 1 y)) (+ (/ 1 x) (/ 1 y)))) into (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.472 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.472 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.472 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.472 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.472 * [taylor]: Taking taylor expansion of x in y 0.472 * [backup-simplify]: Simplify x into x 0.472 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.472 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.472 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.472 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.472 * [taylor]: Taking taylor expansion of y in y 0.472 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify 1 into 1 0.473 * [backup-simplify]: Simplify (* 1 1) into 1 0.473 * [backup-simplify]: Simplify (/ 1 1) into 1 0.473 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.473 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.473 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.473 * [taylor]: Taking taylor expansion of x in x 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 1 into 1 0.473 * [backup-simplify]: Simplify (* 1 1) into 1 0.474 * [backup-simplify]: Simplify (/ 1 1) into 1 0.474 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.474 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.474 * [taylor]: Taking taylor expansion of y in x 0.474 * [backup-simplify]: Simplify y into y 0.474 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.474 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.474 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.474 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.474 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.474 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify 1 into 1 0.474 * [backup-simplify]: Simplify (* 1 1) into 1 0.475 * [backup-simplify]: Simplify (/ 1 1) into 1 0.475 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.475 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.475 * [taylor]: Taking taylor expansion of y in x 0.475 * [backup-simplify]: Simplify y into y 0.475 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.475 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.475 * [backup-simplify]: Simplify (+ 1 0) into 1 0.475 * [taylor]: Taking taylor expansion of 1 in y 0.475 * [backup-simplify]: Simplify 1 into 1 0.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.477 * [backup-simplify]: Simplify (+ 0 0) into 0 0.477 * [taylor]: Taking taylor expansion of 0 in y 0.477 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.478 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 0.479 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 0.479 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.479 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.479 * [taylor]: Taking taylor expansion of y in y 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify 1 into 1 0.479 * [backup-simplify]: Simplify (* 1 1) into 1 0.479 * [backup-simplify]: Simplify (/ 1 1) into 1 0.480 * [backup-simplify]: Simplify (- 1) into -1 0.480 * [backup-simplify]: Simplify -1 into -1 0.480 * [backup-simplify]: Simplify 1 into 1 0.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.481 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.481 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.482 * [backup-simplify]: Simplify (- 0) into 0 0.482 * [backup-simplify]: Simplify (+ 0 0) into 0 0.482 * [taylor]: Taking taylor expansion of 0 in y 0.482 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.483 * [backup-simplify]: Simplify (- 0) into 0 0.483 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.485 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.486 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.486 * [backup-simplify]: Simplify (- 0) into 0 0.486 * [backup-simplify]: Simplify (+ 0 0) into 0 0.486 * [taylor]: Taking taylor expansion of 0 in y 0.487 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.488 * [backup-simplify]: Simplify (- 0) into 0 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (pow y 2)) 0.489 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- y)))) (* (- (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y))))) into (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.489 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.489 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.489 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.489 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.489 * [taylor]: Taking taylor expansion of x in y 0.489 * [backup-simplify]: Simplify x into x 0.489 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.489 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.489 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.489 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.490 * [taylor]: Taking taylor expansion of y in y 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 1 into 1 0.490 * [backup-simplify]: Simplify (* 1 1) into 1 0.490 * [backup-simplify]: Simplify (/ 1 1) into 1 0.490 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.490 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.490 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 1 into 1 0.491 * [backup-simplify]: Simplify (* 1 1) into 1 0.491 * [backup-simplify]: Simplify (/ 1 1) into 1 0.491 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.491 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.491 * [taylor]: Taking taylor expansion of y in x 0.491 * [backup-simplify]: Simplify y into y 0.491 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.491 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.491 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.491 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.491 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.491 * [taylor]: Taking taylor expansion of x in x 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify 1 into 1 0.492 * [backup-simplify]: Simplify (* 1 1) into 1 0.492 * [backup-simplify]: Simplify (/ 1 1) into 1 0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.492 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.492 * [taylor]: Taking taylor expansion of y in x 0.492 * [backup-simplify]: Simplify y into y 0.492 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.492 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.493 * [backup-simplify]: Simplify (+ 1 0) into 1 0.493 * [taylor]: Taking taylor expansion of 1 in y 0.493 * [backup-simplify]: Simplify 1 into 1 0.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.494 * [backup-simplify]: Simplify (+ 0 0) into 0 0.494 * [taylor]: Taking taylor expansion of 0 in y 0.494 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.496 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 0.496 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 0.496 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.496 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.496 * [taylor]: Taking taylor expansion of y in y 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify 1 into 1 0.497 * [backup-simplify]: Simplify (* 1 1) into 1 0.497 * [backup-simplify]: Simplify (/ 1 1) into 1 0.497 * [backup-simplify]: Simplify (- 1) into -1 0.497 * [backup-simplify]: Simplify -1 into -1 0.497 * [backup-simplify]: Simplify 1 into 1 0.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.499 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.499 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.499 * [backup-simplify]: Simplify (- 0) into 0 0.500 * [backup-simplify]: Simplify (+ 0 0) into 0 0.500 * [taylor]: Taking taylor expansion of 0 in y 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.501 * [backup-simplify]: Simplify (- 0) into 0 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.503 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.503 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.504 * [backup-simplify]: Simplify (- 0) into 0 0.504 * [backup-simplify]: Simplify (+ 0 0) into 0 0.504 * [taylor]: Taking taylor expansion of 0 in y 0.504 * [backup-simplify]: Simplify 0 into 0 0.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.506 * [backup-simplify]: Simplify (- 0) into 0 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (pow y 2)) 0.506 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.506 * [backup-simplify]: Simplify (* x (+ x y)) into (* x (+ x y)) 0.506 * [approximate]: Taking taylor expansion of (* x (+ x y)) in (x y) around 0 0.506 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 0.506 * [taylor]: Taking taylor expansion of x in y 0.506 * [backup-simplify]: Simplify x into x 0.506 * [taylor]: Taking taylor expansion of (+ x y) in y 0.506 * [taylor]: Taking taylor expansion of x in y 0.506 * [backup-simplify]: Simplify x into x 0.507 * [taylor]: Taking taylor expansion of y in y 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify 1 into 1 0.507 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify 1 into 1 0.507 * [taylor]: Taking taylor expansion of (+ x y) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify 1 into 1 0.507 * [taylor]: Taking taylor expansion of y in x 0.507 * [backup-simplify]: Simplify y into y 0.507 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify 1 into 1 0.507 * [taylor]: Taking taylor expansion of (+ x y) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify 1 into 1 0.507 * [taylor]: Taking taylor expansion of y in x 0.507 * [backup-simplify]: Simplify y into y 0.507 * [backup-simplify]: Simplify (+ 0 y) into y 0.507 * [backup-simplify]: Simplify (* 0 y) into 0 0.507 * [taylor]: Taking taylor expansion of 0 in y 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify (+ 1 0) into 1 0.508 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 y)) into y 0.508 * [taylor]: Taking taylor expansion of y in y 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify 1 into 1 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify (+ 0 0) into 0 0.509 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 y))) into 1 0.509 * [taylor]: Taking taylor expansion of 1 in y 0.509 * [backup-simplify]: Simplify 1 into 1 0.509 * [backup-simplify]: Simplify 1 into 1 0.509 * [backup-simplify]: Simplify 1 into 1 0.509 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify (+ 0 0) into 0 0.510 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 y)))) into 0 0.510 * [taylor]: Taking taylor expansion of 0 in y 0.510 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify (+ 0 0) into 0 0.512 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 0.512 * [taylor]: Taking taylor expansion of 0 in y 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify (+ (* 1 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* x y)) 0.512 * [backup-simplify]: Simplify (* (/ 1 x) (+ (/ 1 x) (/ 1 y))) into (/ (+ (/ 1 y) (/ 1 x)) x) 0.512 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.513 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.513 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.513 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.513 * [taylor]: Taking taylor expansion of y in y 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify 1 into 1 0.513 * [backup-simplify]: Simplify (/ 1 1) into 1 0.513 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.513 * [taylor]: Taking taylor expansion of x in y 0.513 * [backup-simplify]: Simplify x into x 0.513 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.513 * [taylor]: Taking taylor expansion of x in y 0.513 * [backup-simplify]: Simplify x into x 0.513 * [backup-simplify]: Simplify (+ 1 0) into 1 0.513 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.513 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.514 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.514 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.514 * [taylor]: Taking taylor expansion of y in x 0.514 * [backup-simplify]: Simplify y into y 0.514 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.514 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.514 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify 1 into 1 0.514 * [backup-simplify]: Simplify (/ 1 1) into 1 0.514 * [taylor]: Taking taylor expansion of x in x 0.514 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify 1 into 1 0.514 * [backup-simplify]: Simplify (+ 0 1) into 1 0.515 * [backup-simplify]: Simplify (/ 1 1) into 1 0.515 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.515 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.515 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.515 * [taylor]: Taking taylor expansion of y in x 0.515 * [backup-simplify]: Simplify y into y 0.515 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.515 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.515 * [taylor]: Taking taylor expansion of x in x 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify 1 into 1 0.515 * [backup-simplify]: Simplify (/ 1 1) into 1 0.515 * [taylor]: Taking taylor expansion of x in x 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify 1 into 1 0.516 * [backup-simplify]: Simplify (+ 0 1) into 1 0.516 * [backup-simplify]: Simplify (/ 1 1) into 1 0.516 * [taylor]: Taking taylor expansion of 1 in y 0.516 * [backup-simplify]: Simplify 1 into 1 0.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.517 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.517 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 0.517 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.517 * [taylor]: Taking taylor expansion of y in y 0.517 * [backup-simplify]: Simplify 0 into 0 0.517 * [backup-simplify]: Simplify 1 into 1 0.518 * [backup-simplify]: Simplify (/ 1 1) into 1 0.518 * [backup-simplify]: Simplify 1 into 1 0.518 * [backup-simplify]: Simplify 1 into 1 0.518 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.519 * [backup-simplify]: Simplify (+ 0 0) into 0 0.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 0.520 * [taylor]: Taking taylor expansion of 0 in y 0.520 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.522 * [backup-simplify]: Simplify (+ 0 0) into 0 0.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.523 * [taylor]: Taking taylor expansion of 0 in y 0.523 * [backup-simplify]: Simplify 0 into 0 0.523 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.524 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.525 * [backup-simplify]: Simplify (+ 0 0) into 0 0.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.527 * [taylor]: Taking taylor expansion of 0 in y 0.527 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify 0 into 0 0.528 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* x y)) 0.528 * [backup-simplify]: Simplify (* (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- y)))) into (/ (+ (/ 1 y) (/ 1 x)) x) 0.528 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.528 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.528 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.528 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.528 * [taylor]: Taking taylor expansion of y in y 0.528 * [backup-simplify]: Simplify 0 into 0 0.528 * [backup-simplify]: Simplify 1 into 1 0.528 * [backup-simplify]: Simplify (/ 1 1) into 1 0.528 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.528 * [taylor]: Taking taylor expansion of x in y 0.528 * [backup-simplify]: Simplify x into x 0.528 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.528 * [taylor]: Taking taylor expansion of x in y 0.529 * [backup-simplify]: Simplify x into x 0.529 * [backup-simplify]: Simplify (+ 1 0) into 1 0.529 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.529 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.529 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.529 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.529 * [taylor]: Taking taylor expansion of y in x 0.529 * [backup-simplify]: Simplify y into y 0.529 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.529 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.529 * [taylor]: Taking taylor expansion of x in x 0.529 * [backup-simplify]: Simplify 0 into 0 0.529 * [backup-simplify]: Simplify 1 into 1 0.529 * [backup-simplify]: Simplify (/ 1 1) into 1 0.530 * [taylor]: Taking taylor expansion of x in x 0.530 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify 1 into 1 0.530 * [backup-simplify]: Simplify (+ 0 1) into 1 0.530 * [backup-simplify]: Simplify (/ 1 1) into 1 0.530 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.530 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.530 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.530 * [taylor]: Taking taylor expansion of y in x 0.530 * [backup-simplify]: Simplify y into y 0.530 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.530 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.530 * [taylor]: Taking taylor expansion of x in x 0.530 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify 1 into 1 0.531 * [backup-simplify]: Simplify (/ 1 1) into 1 0.531 * [taylor]: Taking taylor expansion of x in x 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify 1 into 1 0.531 * [backup-simplify]: Simplify (+ 0 1) into 1 0.531 * [backup-simplify]: Simplify (/ 1 1) into 1 0.532 * [taylor]: Taking taylor expansion of 1 in y 0.532 * [backup-simplify]: Simplify 1 into 1 0.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.532 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.533 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 0.533 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.533 * [taylor]: Taking taylor expansion of y in y 0.533 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify 1 into 1 0.533 * [backup-simplify]: Simplify (/ 1 1) into 1 0.533 * [backup-simplify]: Simplify 1 into 1 0.533 * [backup-simplify]: Simplify 1 into 1 0.533 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.534 * [backup-simplify]: Simplify (+ 0 0) into 0 0.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 0.536 * [taylor]: Taking taylor expansion of 0 in y 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.537 * [backup-simplify]: Simplify (+ 0 0) into 0 0.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.539 * [taylor]: Taking taylor expansion of 0 in y 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.543 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.544 * [backup-simplify]: Simplify (+ 0 0) into 0 0.546 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.546 * [taylor]: Taking taylor expansion of 0 in y 0.546 * [backup-simplify]: Simplify 0 into 0 0.546 * [backup-simplify]: Simplify 0 into 0 0.546 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* x y)) 0.546 * * * [progress]: simplifying candidates 0.548 * [simplify]: Simplifying: (* (- y) (+ x y)) (+ (log (- y)) (log (+ x y))) (log (* (- y) (+ x y))) (exp (* (- y) (+ x y))) (* (* (* (- y) (- y)) (- y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* (- y) (+ x y))) (cbrt (* (- y) (+ x y)))) (cbrt (* (- y) (+ x y))) (* (* (* (- y) (+ x y)) (* (- y) (+ x y))) (* (- y) (+ x y))) (sqrt (* (- y) (+ x y))) (sqrt (* (- y) (+ x y))) (* (sqrt (- y)) (sqrt (+ x y))) (* (sqrt (- y)) (sqrt (+ x y))) (* y (+ x y)) (* (- y) x) (* (- y) y) (* x (- y)) (* y (- y)) (* (- y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (- y) (sqrt (+ x y))) (* (- y) 1) (* (- y) 1) (* (cbrt (- y)) (+ x y)) (* (sqrt (- y)) (+ x y)) (* (- y) (+ x y)) (* y (+ x y)) (* (cbrt y) (+ x y)) (* (sqrt y) (+ x y)) (* y (+ x y)) (* (- (cbrt y)) (+ x y)) (* (- (sqrt y)) (+ x y)) (* (- y) (+ x y)) (* (- y) (+ (pow x 3) (pow y 3))) (* (- y) (- (* x x) (* y y))) (* (exp (* x (+ x y))) (exp (* (- y) (+ x y)))) (log (+ (* x (+ x y)) (* (- y) (+ x y)))) (exp (+ (* x (+ x y)) (* (- y) (+ x y)))) (* (cbrt (+ (* x (+ x y)) (* (- y) (+ x y)))) (cbrt (+ (* x (+ x y)) (* (- y) (+ x y))))) (cbrt (+ (* x (+ x y)) (* (- y) (+ x y)))) (* (* (+ (* x (+ x y)) (* (- y) (+ x y))) (+ (* x (+ x y)) (* (- y) (+ x y)))) (+ (* x (+ x y)) (* (- y) (+ x y)))) (sqrt (+ (* x (+ x y)) (* (- y) (+ x y)))) (sqrt (+ (* x (+ x y)) (* (- y) (+ x y)))) (+ (* (* x (+ (pow x 3) (pow y 3))) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (- (* y y) (* x y))) (* (- y) (+ (pow x 3) (pow y 3))))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* x (+ (pow x 3) (pow y 3))) (- x y)) (* (+ (* x x) (- (* y y) (* x y))) (* (- y) (- (* x x) (* y y))))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (+ (* (* x (- (* x x) (* y y))) (+ (* x x) (- (* y y) (* x y)))) (* (- x y) (* (- y) (+ (pow x 3) (pow y 3))))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* x (- (* x x) (* y y))) (- x y)) (* (- x y) (* (- y) (- (* x x) (* y y))))) (* (- x y) (- x y)) (+ (pow (* x (+ x y)) 3) (pow (* (- y) (+ x y)) 3)) (+ (* (* x (+ x y)) (* x (+ x y))) (- (* (* (- y) (+ x y)) (* (- y) (+ x y))) (* (* x (+ x y)) (* (- y) (+ x y))))) (- (* (* x (+ x y)) (* x (+ x y))) (* (* (- y) (+ x y)) (* (- y) (+ x y)))) (- (* x (+ x y)) (* (- y) (+ x y))) (+ x (- y)) (+ (* x (+ x y)) (* (- y) x)) (+ (* x (+ x y)) (* x (- y))) (+ (* x y) (* (- y) (+ x y))) (+ (* y x) (* (- y) (+ x y))) (* x (+ x y)) (+ (log x) (log (+ x y))) (log (* x (+ x y))) (exp (* x (+ x y))) (* (* (* x x) x) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* x (+ x y))) (cbrt (* x (+ x y)))) (cbrt (* x (+ x y))) (* (* (* x (+ x y)) (* x (+ x y))) (* x (+ x y))) (sqrt (* x (+ x y))) (sqrt (* x (+ x y))) (* (sqrt x) (sqrt (+ x y))) (* (sqrt x) (sqrt (+ x y))) (* x x) (* x y) (* x x) (* y x) (* x (* (cbrt (+ x y)) (cbrt (+ x y)))) (* x (sqrt (+ x y))) (* x 1) (* x 1) (* (cbrt x) (+ x y)) (* (sqrt x) (+ x y)) (* x (+ x y)) (* x (+ (pow x 3) (pow y 3))) (* x (- (* x x) (* y y))) (- (+ (pow y 2) (* x y))) (- (+ (pow y 2) (* x y))) (- (+ (pow y 2) (* x y))) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) 0.548 * [simplify]: Sending expressions to egg_math: (* (- h0) (+ h1 h0)) (+ (log (- h0)) (log (+ h1 h0))) (log (* (- h0) (+ h1 h0))) (exp (* (- h0) (+ h1 h0))) (* (* (* (- h0) (- h0)) (- h0)) (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0))) (* (cbrt (* (- h0) (+ h1 h0))) (cbrt (* (- h0) (+ h1 h0)))) (cbrt (* (- h0) (+ h1 h0))) (* (* (* (- h0) (+ h1 h0)) (* (- h0) (+ h1 h0))) (* (- h0) (+ h1 h0))) (sqrt (* (- h0) (+ h1 h0))) (sqrt (* (- h0) (+ h1 h0))) (* (sqrt (- h0)) (sqrt (+ h1 h0))) (* (sqrt (- h0)) (sqrt (+ h1 h0))) (* h0 (+ h1 h0)) (* (- h0) h1) (* (- h0) h0) (* h1 (- h0)) (* h0 (- h0)) (* (- h0) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (* (- h0) (sqrt (+ h1 h0))) (* (- h0) 1) (* (- h0) 1) (* (cbrt (- h0)) (+ h1 h0)) (* (sqrt (- h0)) (+ h1 h0)) (* (- h0) (+ h1 h0)) (* h0 (+ h1 h0)) (* (cbrt h0) (+ h1 h0)) (* (sqrt h0) (+ h1 h0)) (* h0 (+ h1 h0)) (* (- (cbrt h0)) (+ h1 h0)) (* (- (sqrt h0)) (+ h1 h0)) (* (- h0) (+ h1 h0)) (* (- h0) (+ (pow h1 3) (pow h0 3))) (* (- h0) (- (* h1 h1) (* h0 h0))) (* (exp (* h1 (+ h1 h0))) (exp (* (- h0) (+ h1 h0)))) (log (+ (* h1 (+ h1 h0)) (* (- h0) (+ h1 h0)))) (exp (+ (* h1 (+ h1 h0)) (* (- h0) (+ h1 h0)))) (* (cbrt (+ (* h1 (+ h1 h0)) (* (- h0) (+ h1 h0)))) (cbrt (+ (* h1 (+ h1 h0)) (* (- h0) (+ h1 h0))))) (cbrt (+ (* h1 (+ h1 h0)) (* (- h0) (+ h1 h0)))) (* (* (+ (* h1 (+ h1 h0)) (* (- h0) (+ h1 h0))) (+ (* h1 (+ h1 h0)) (* (- h0) (+ h1 h0)))) (+ (* h1 (+ h1 h0)) (* (- h0) (+ h1 h0)))) (sqrt (+ (* h1 (+ h1 h0)) (* (- h0) (+ h1 h0)))) (sqrt (+ (* h1 (+ h1 h0)) (* (- h0) (+ h1 h0)))) (+ (* (* h1 (+ (pow h1 3) (pow h0 3))) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (* (+ (* h1 h1) (- (* h0 h0) (* h1 h0))) (* (- h0) (+ (pow h1 3) (pow h0 3))))) (* (+ (* h1 h1) (- (* h0 h0) (* h1 h0))) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (+ (* (* h1 (+ (pow h1 3) (pow h0 3))) (- h1 h0)) (* (+ (* h1 h1) (- (* h0 h0) (* h1 h0))) (* (- h0) (- (* h1 h1) (* h0 h0))))) (* (+ (* h1 h1) (- (* h0 h0) (* h1 h0))) (- h1 h0)) (+ (* (* h1 (- (* h1 h1) (* h0 h0))) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (* (- h1 h0) (* (- h0) (+ (pow h1 3) (pow h0 3))))) (* (- h1 h0) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (+ (* (* h1 (- (* h1 h1) (* h0 h0))) (- h1 h0)) (* (- h1 h0) (* (- h0) (- (* h1 h1) (* h0 h0))))) (* (- h1 h0) (- h1 h0)) (+ (pow (* h1 (+ h1 h0)) 3) (pow (* (- h0) (+ h1 h0)) 3)) (+ (* (* h1 (+ h1 h0)) (* h1 (+ h1 h0))) (- (* (* (- h0) (+ h1 h0)) (* (- h0) (+ h1 h0))) (* (* h1 (+ h1 h0)) (* (- h0) (+ h1 h0))))) (- (* (* h1 (+ h1 h0)) (* h1 (+ h1 h0))) (* (* (- h0) (+ h1 h0)) (* (- h0) (+ h1 h0)))) (- (* h1 (+ h1 h0)) (* (- h0) (+ h1 h0))) (+ h1 (- h0)) (+ (* h1 (+ h1 h0)) (* (- h0) h1)) (+ (* h1 (+ h1 h0)) (* h1 (- h0))) (+ (* h1 h0) (* (- h0) (+ h1 h0))) (+ (* h0 h1) (* (- h0) (+ h1 h0))) (* h1 (+ h1 h0)) (+ (log h1) (log (+ h1 h0))) (log (* h1 (+ h1 h0))) (exp (* h1 (+ h1 h0))) (* (* (* h1 h1) h1) (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0))) (* (cbrt (* h1 (+ h1 h0))) (cbrt (* h1 (+ h1 h0)))) (cbrt (* h1 (+ h1 h0))) (* (* (* h1 (+ h1 h0)) (* h1 (+ h1 h0))) (* h1 (+ h1 h0))) (sqrt (* h1 (+ h1 h0))) (sqrt (* h1 (+ h1 h0))) (* (sqrt h1) (sqrt (+ h1 h0))) (* (sqrt h1) (sqrt (+ h1 h0))) (* h1 h1) (* h1 h0) (* h1 h1) (* h0 h1) (* h1 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (* h1 (sqrt (+ h1 h0))) (* h1 1) (* h1 1) (* (cbrt h1) (+ h1 h0)) (* (sqrt h1) (+ h1 h0)) (* h1 (+ h1 h0)) (* h1 (+ (pow h1 3) (pow h0 3))) (* h1 (- (* h1 h1) (* h0 h0))) (- (+ (pow h0 2) (* h1 h0))) (- (+ (pow h0 2) (* h1 h0))) (- (+ (pow h0 2) (* h1 h0))) (- (pow h1 2) (pow h0 2)) (- (pow h1 2) (pow h0 2)) (- (pow h1 2) (pow h0 2)) (+ (pow h1 2) (* h1 h0)) (+ (pow h1 2) (* h1 h0)) (+ (pow h1 2) (* h1 h0)) 0.599 * * * [progress]: adding candidates to table 0.768 * [progress]: [Phase 3 of 3] Extracting. 0.769 * * [regime]: Finding splitpoints for: (# #) 0.769 * * * [regime-changes]: Trying 3 branch expressions: ((* (+ x y) (- x y)) y x) 0.769 * * * * [regimes]: Trying to branch on (* (+ x y) (- x y)) from (# #) 0.786 * * * * [regimes]: Trying to branch on y from (# #) 0.801 * * * * [regimes]: Trying to branch on x from (# #) 0.816 * * * [regime]: Found split indices: #